In reply to markflanagan:
Guess it very much depends on your definitions of long and easy, but a few route ideas that spring to mind on the ice front would be...
Aiguille du Chardonnet, Migot Spur (classic snow and ice line, about 500m long, crux is maybe Scottish III?)
Tour Ronde, North Face (same as Migot Spur)
Triangle du Tacul, Contamine-Mazeaud/Contamine-Grisolle/Chere Couloir (go to the summit of Mont Blanc du Tacul Tacul from each of these and it's a pretty long day out; again about 500m to the summit with cruxes in the Scottish III sort of territory, bit harder for the Chere)
Mont Blanc du Tacul, Afanasieff-Bodin (really nice, infrequently travelled route to the summit of the Tacul; about 600m long with a crux at Scottish IV level)
And on the rock front...
Aiguille du Grepon, Grepon-Mer de Glace (long route, mostly easy with an HVS crux)
Premiere Pointe des Nantillions, Guy-Ann/Bienvennue/Amazonia (all amazing routes about 350m/12 or so pitches long, generally sustained HVS to E1/E2)
And combining both...
Mont Blanc, Kuffner Arete (nothing hard, but is long, committing and at altitude; fantastic route)
And not forgetting, every Brit's favourite, the Frendo Spur!!
If you judge the weather right, these are typically all in condition in late June
Post edited at 16:21